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Finding the Fourth Proportional to 565.76, 848.62 and 223.76

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Solution

The fourth proportional to 565.76, 848.62 and 223.76 is: 335.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.76 : 848.62 = 223.76 : x
  2. Step 2: Convert to fraction form
    565.76/848.62 = 223.76/x
  3. Step 3: Cross multiply
    565.76x = 848.62 × 223.76
  4. Step 4: Simplify right side
    565.76x = 189,887.21
  5. Step 5: Solve for x
    x = 189,887.21/565.76
  6. Step 6: Final answer
    x = 335.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.